Circuits, Systems, and Signal Processing

, Volume 38, Issue 6, pp 2607–2629 | Cite as

Focusing Multireceiver SAS Data Based on the Fourth-Order Legendre Expansion

  • Xuebo ZhangEmail author
  • Peixuan Yang
  • Xuntao Dai


Using Legendre polynomials and the derivation method of the implicit function, this paper proposes a range-Doppler algorithm for multireceiver synthetic aperture sonar. Based on Legendre polynomials, the two-way slant range is first expanded into a power series with respect to the slow time. Then, the derivation method of the implicit function is exploited to deduce the point of stationary phase and point target reference spectrum (PTRS). Based on this PTRS, the paper presents an imaging algorithm, which uses the range-dependent sub-block processing method to cancel the space-variant coupling between the range and azimuth dimensions. Simulation results and real data processing are presented to validate the proposed method.


Synthetic aperture sonar Legendre polynomials Range error Sub-block Imaging algorithm 



This work is supported financially by the National Natural Science Foundation of China (61601473) and the National Key Laboratory Foundation of China (9140C290401150C29132). The authors thank LetPub ( for its linguistic assistance during the preparation of this manuscript.


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Laboratory of Underwater AcousticsZhanjiangPeople’s Republic of China
  2. 2.The Wisdom EducationZhanjiangPeople’s Republic of China
  3. 3.No. 10 Institute, Electronics Technology Group CorporationChengduPeople’s Republic of China

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